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INDEX TO VOLUME II.

		Page
Stringham, W. I.—Some General Formulae for Integrals of Irrational Functions, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .		188
	The Quaternion Formulae for Quantification of Curves, Surfaces and Solids, and for Barycentres, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .	205
Stringham, W. I.—Some General Formulae for Integrals of Irrational Functions, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .		214
	On the Complete System of the "Grundformen" of the Binary Quantic of the Ninth Order, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .	98
	On Certain Ternary Cubic-Form Equations.Chapter I. On the Resolution of Numbers into the sums or differences of Two Cubes.Section 1 (Proem), . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .	280
	Excursus on the Divisors of Cyclotomic Functions, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .	357
	Notes to Proem (Section 1). On Triangles and Polygon in-and-exscribed to a Cubic Curve, and on 2 and 3 as Cubic Residues, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .	381
	Section 2.On Numbers Irresoluble into the Sum or Difference of Two Cubes.Title 1. Irresoluble Numbers not containing Factors of the Form $6n+1$ , . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .	389
	Remarks on Tables of the Generating Functions and Groundforms for Simultaneous Binary Quantics of the First Four Orders, &c., . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .	324
Sylvester, J. J. (assisted by F. Franklin)—
	Tables of the Generating Functions and Groundforms for the Binary Quantics of the First Ten Orders, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .	223
	Tables of the Generating Functions and Groundforms for Simultaneous Binary Quantics of the First Four Orders taken two and two together, . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .	293

ERRATA.

Page 52, line 17, for $x$ read ${\dot {x}}$ .
Page 55, line 15, for $-\Delta {\dot {x}}$ read $-m\Delta {\dot {x}}$ .
Page 56, line 17, for $(7)$ read $(6)$ .
Page 57, lines 3, 12, 20, for $(7)$ read $(6)$ .
Page 57, line 17, for $X\delta {\dot {x}}$ read $X\delta x$ .
Page 58, line 20, for $\delta Z$ read $\delta {\dot {Z}}$ .
Page 60, line 4 from foot, before $(Y+Y')$ insert $+$ .
Page 63, line 14, for ${\frac {d\omega _{2}}{dt}}$ read ${\frac {d{\dot {\omega }}_{2}}{dt}}$ .
Page 79, line 25, for $-191$ read $-192$ .
Page 81, line 18, for $X$ read $Y$ .
Page 113, line 7, for $n]+m$ read $m]+n$ .
Page 115, line 4, for $nx^{3}$ read $hx^{3}$ .
Page 116, equation $81$ , insert $($ after $-$ .
Page 118, line 5 from bottom, for $c_{xy}$ read $c^{xy}$ .
Page 118, line 2 from bottom, for $)c^{x})$ read $(c^{x})$ .
Page 119, line 6, for $c_{x}$ read $c^{x}$ .

Page 128, line 17, for $y=k$ read $dy=k$ .
Page 130, line 19, for $(-v^{n})$ read $(-v)^{n}$ .
Page 145, line 4, for $x+{\tfrac {1}{2}}$ read $x-{\tfrac {1}{2}}$ .
Page 145, prefix $\phi$ to equation $(314)$ .
Page 146, equation $(320)$ insert $\phi$ after $x^{-1}$ .
Page 147, line 25, for $\phi$ read $x$ in two places.
Page 147, note, line 3, for $2x\partial +\partial$ read $2x\partial +\partial ^{2}$ .
Page 154, equations $(357)$ and $(358)$ , for $-h$ read $+h$ .
Page 280, dele sentence beginning at line 11 from foot and ending at line 9 from foot.
Page 280, line 6 from foot, dele $9pq$ , $9p^{2}q^{2}$ , $9p_{1}p_{2}^{2}$ , $9q_{1}q_{2}^{2}$ .
Page 281, 2d foot-note, line 1, after form insert the words $f^{2}+243g^{2}$ nor of the form.
Page 281, 2d foot-note, line 2, for above read the last named.
Page 283, lines 10 and 17, for $537$ read $557$ .
Page 284, 2d foot-note. For correction of error herein contained see Note 1 to Proem, p. 381.